Search a number
-
+
5658400342980 = 223257211103566233
BaseRepresentation
bin101001001010111001011…
…1100010100001111000100
3202000221022122111222202100
41102111302330110033010
51220201400441433410
620011233324512100
71122543302223600
oct122256274241704
922027278458670
105658400342980
111891794530120
127747769ab630
1332077ac36028
14157c21c78500
159c2c465e8c0
hex52572f143c4

5658400342980 has 432 divisors, whose sum is σ = 21992673515904. Its totient is φ = 1164354186240.

The previous prime is 5658400342961. The next prime is 5658400342999. The reversal of 5658400342980 is 892430048565.

5658400342980 is a `hidden beast` number, since 5 + 6 + 584 + 0 + 0 + 34 + 29 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5658400342961) and next prime (5658400342999).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9709944 + ... + 10276176.

It is an arithmetic number, because the mean of its divisors is an integer number (50908966472).

Almost surely, 25658400342980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5658400342980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996336757952).

5658400342980 is an abundant number, since it is smaller than the sum of its proper divisors (16334273172924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5658400342980 is a wasteful number, since it uses less digits than its factorization.

5658400342980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566376 (or 566364 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

It can be divided in two parts, 5658400 and 342980, that added together give a triangular number (6001380 = T3464).

The spelling of 5658400342980 in words is "five trillion, six hundred fifty-eight billion, four hundred million, three hundred forty-two thousand, nine hundred eighty".